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Finding the Fourth Proportional to 473,819.71, 653,869.62 and 258,959.71

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Solution

The fourth proportional to 473,819.71, 653,869.62 and 258,959.71 is: 357,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,819.71 : 653,869.62 = 258,959.71 : x
  2. Step 2: Convert to fraction form
    473,819.71/653,869.62 = 258,959.71/x
  3. Step 3: Cross multiply
    473,819.71x = 653,869.62 × 258,959.71
  4. Step 4: Simplify right side
    473,819.71x = 169,325,887,173.01
  5. Step 5: Solve for x
    x = 169,325,887,173.01/473,819.71
  6. Step 6: Final answer
    x = 357,363.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.